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Finding the Fourth Proportional to 202,782.57, 304,126.67 and 76,435.53

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Solution

The fourth proportional to 202,782.57, 304,126.67 and 76,435.53 is: 114,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,782.57 : 304,126.67 = 76,435.53 : x
  2. Step 2: Convert to fraction form
    202,782.57/304,126.67 = 76,435.53/x
  3. Step 3: Cross multiply
    202,782.57x = 304,126.67 × 76,435.53
  4. Step 4: Simplify right side
    202,782.57x = 23,246,083,208.59
  5. Step 5: Solve for x
    x = 23,246,083,208.59/202,782.57
  6. Step 6: Final answer
    x = 114,635.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.